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12273854208 = 2837111729421
BaseRepresentation
bin10110110111001010…
…00010011100000000
31011200101102101200220
423123211002130000
5200114101313313
65345531143040
7613105016340
oct133345023400
934611371626
1012273854208
1152292a8370
1224665a4a80
131207b09a35
14846146d20
154bc817823
hex2db942700

12273854208 has 576 divisors, whose sum is σ = 44715525120. Its totient is φ = 2890137600.

The previous prime is 12273854207. The next prime is 12273854261. The reversal of 12273854208 is 80245837221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12273854208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273854207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29153838 + ... + 29154258.

It is an arithmetic number, because the mean of its divisors is an integer number (77631120).

Almost surely, 212273854208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12273854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357762560).

12273854208 is an abundant number, since it is smaller than the sum of its proper divisors (32441670912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12273854208 is a wasteful number, since it uses less digits than its factorization.

12273854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 12273854208 in words is "twelve billion, two hundred seventy-three million, eight hundred fifty-four thousand, two hundred eight".